Source: Revised GRE PDF 1st Ed. Section 6: Math; #19 (p. 89)


How many students are either juniors or males

How many students are either juniors or males or both? 678; 766; 948; 1,130; 1,312

3 Explanations


Marina Girgiss

Why isn't it 270 for Juniors + 860 males + 182 for both = 1,250

Aug 20, 2019 • Comment

David Recine, Magoosh Tutor

If we take that approach, we're counting quite a few males multiple times. Remember, 860 is the total number of males. If we add 270 for all juniors to the 860 for all males including juniors, we're counting the 182 junior males twice, since those 182 juior malkes are already part of the 860 male total. And then if we count the 182 who are juniors and males separately on top of that, we're counting all junior males three times: once as part of the 860 male total, a second time as part of the 270 junior total, and a third time as an individual group!

To avoid counting junior males more than once, you need to start with 860 (all males), and then add *only* 88-- the number of students who are junior but not male (female juniors, in other words).

Does that make sense? :)

Aug 26, 2019 • Reply


Nicolas Maffey

Hey! In this question, shouldn't you also add the number of total males (860) for an answer of 1130 (D)?

Oct 11, 2016 • Comment

Sam Kinsman

Hi Nicolas,

Yes, we do want to include the total number of males! So we have 860, plus the number of female juniors, which is 88. So:

860 + 88 = 948

I hope that helps!

Oct 19, 2016 • Reply


Gravatar Chris Lele, Magoosh Tutor

Sep 26, 2012 • Comment

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